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Number System
Fast trick to solve number system
Q .If the difference between the reciprocal of a positive proper fractionand the fraction itself be 21/14, the fraction is-
Let number be the x -
(1/x ) - ( x/1 ) = 21/14
(1 - x
^{2}
)/x = 21/14
14 (1 - x
^{2}
) = 21x
14x
^{2}
+ 21x - 14 = 0
solve the equation with fast trick method as disccused another video-
so x=1/2 or x=-2/1
So the fraction is 1/2.